Please help me find the Surface Area and Lateral Area

From the information given, the value of b if YH = 12b - 4.5, MV = 17b +0.75, and MW-WH = 13.25 is 0. 59

Algebraic expressions are simplify defined as expressions that are composed of terms, variable, coefficients, factors and also constants.

They also seen as expressions involving arithmetic operations such as;

From the information given, we have that;

MW-WH = 13.25.

Where;

Now, to determine the value of b, substitute the values into the equation

17b +0.75 + 12b - 4.5 = 13. 25

collect like terms

17b + 12b = 13.25 + 4. 5 - 0. 75

add or subtract like terms

29b = 17

Make 'b' the subject of formula by dividing both sides by 29, we have;

29b/29 = 17/29

Divide through

b = 0. 59

Thus, the value of b is 0. 59

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The linear equation that gives the rule for this table is y = -5x + 15

The table of values is given as:

x y

1 10

2 5

3 0

4 –5

On the above table, we can see that:

As x increases by 1, the value of y decreases by 5

This means that the slope is

Slope = -5

Also, the above table can be modified as follows (using the slope of -5)

x y

0 15

1 10

2 5

3 0

4 –5

This means that the y-intercept is

y-intercept = 15

A linear equation is represented as

y = slope * x + y-intercept

So, we have

y = -5x + 15

So, the equarion is y = -5x + 15

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Answer: -3

Step-by-step explanation:

the number at the end of the equation is the y-intercept. it's called "slope-intercept" form because the 2x that is at the beginning represents the slope, and the -3 at the end represents the y-intercept.

hope this helps!

Answer:

x= 3/2

Solution:

y=2x-3

Substitute y=0

0=2x-3

Move the variable to the left

-2x=-3

Divide by both sides

x= 3/2

Answer:

c = -3x² + x + 17

Step-by-step explanation:

c = g - 4f

f = 2x² - 5

g = 5x² + x - 3

c = (5x² + x - 3) - 4(2x² - 5)

c = 5x² + x - 3 - 8x² + 20

c = -3x² + x + 17

The values that are solutions to inequality are -6 and 5.

Options A and D are the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

x² + 3x - 4 > 0

Now,

Substituting x = -6, -2, 0, 5

(-6)² + 3(-6) - 4 > 0

36 - 18 - 4 > 0

36 - 22 > 0

14 > 0

True.

x² + 3x - 4 > 0

(-2)² + 3 x (-2) - 4 > 0

4 - 6 - 4 > 0

-6 > 0

This is not true.

x² + 3x - 4 > 0

0 + 3 x 0 - 4 > 0

0 + 0 - 4 > 0

-4 > 0

This is not true.

x² + 3x - 4 > 0

5² + 3 x 5 - 4 > 0

25 + 15 - 4 > 0

40 - 4 > 0

36 > 0

This is true.

Thus,

-6 and 5 are the solutions to inequality.

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The present value of the new drug is $6.951 million (Round to three decimal places).

The present value of an investment represents the current worth of its future cash flows, taking into account the time value of money. To calculate the present value of the new drug, we need to discount the projected future profits back to their present value using the given interest rate of 10% per year.

In this case, the drug is expected to generate $2 million in profits in its first year, and this amount will grow at a rate of 5% per year for the next 17 years. To determine the present value, we discount each year's profit by the appropriate discount factor.

Using the formula for the present value of a growing annuity, we can calculate the discount factor for each year. The formula is as follows:

PV = CF1 / (1 + r) + CF2 / (1 + r)² + ... + CFn / \((1 + r)^n\)

Where PV is the present value, CF is the cash flow for each year, r is the discount rate, and n is the number of years.

In this case, we have CF1 = $2 million, r = 10% (0.10), and n = 17. The cash flows for subsequent years will be calculated by multiplying the previous year's profit by the growth rate of 5% (0.05).

By plugging in the values and performing the calculations, we find that the present value of the new drug is $6.951 million (rounded to three decimal places).

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Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

Answer:

8/3 or 2 2/3

Step-by-step explanation:

Each recipe is 1 1/3 >insert unit< of flour but he's baking two recipes. So, you multiply 1 1/3 by 2 to get 8/3, or 2 2/3

The volume of the right cone is 384π cm³ (option A).

A cone is a three-dimensional object that narrows smoothly from a circular base to a apex or vertex. A cone is a pyrmaid with a circular cross section.

The volume of an object measures the amount of space in the object.

Volume of a cone = 1/3(πr²h)

Where:

Volume of a cone = 1/3(π x 8 x 12²) = 384π cm³

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Answer:

433345344 Answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

143º I’m not sure

The bearing of town C from town A is 93.3 degree if the B is 7 km from A on a bearing of 037° C is 8 km from B on a bearing of 140°

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

If we extend the line NA and NB

As we can see, line NA and NB are parallel and cut by transversal AB

The angle NBA and BAN' will be equal.

Angle BAN' = 180 - 37 = 143 degree = angle NBA

Angle CBA = 360 - 140 - 143

Angle CBA = 77 degree

Now, applying cos law:

b² = a² + c² - 2ac[cos B]

b² = (8)² + (7)² - 2(8 x 7 x cos77)

b = 9.37 km

To find the measure of the angle A applying sin law:

(sinA)/a = (sinB)/b

sinA = (axsinB)/b

sinA = (8xsin77)/9.37

A = 56.3⁰

Bearing of town C from town A:

α = A + 37⁰

α = 56.3⁰ + 37⁰

α = 93.3⁰

Thus, the bearing of town C from town A is 93.3 degree if the B is 7 km from A on a bearing of 037° C is 8 km from B on a bearing of 140°

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Answer:

93.75 pounds

Step-by-step explanation:

Set up a proportion where x is the weight of a person on Earth:

\(\frac{200}{32}\) = \(\frac{x}{15}\)

Cross multiply and solve for x

32x = 3000

x = 93.75

So, the person would weigh 93.75 pounds on Earth

On Earth, a person weighing 93.75 pounds would weigh around 15 pounds on the moon.

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

If a person who weighs 200 pounds on Earth would weigh about 32 pounds on the moon, we can set up the following proportion to find the weight of a person on Earth who would weigh 15 pounds on the moon:

200 pounds : 32 pounds = x pounds : 15 pounds

200 pounds / 32 pounds = x pounds / 15 pounds

⇒ 200/32 = x/15

Apply the Cross-multiplication operation, we get:

⇒ 200 × 15 = 32 × x

Solving for x, we get:

⇒ x = (200 × 15) / 32

⇒ x = 3000/32

Apply the division operation

⇒ x = 93.75 pounds

Therefore, a person who weighs 93.75 pounds on Earth would weigh about 15 pounds on the moon.

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Answer:

151°

Step-by-step explanation:

Supplementary angles equal 180°, so all you have to do here is subtract 29 from 180 to get 151° as the supplement.

Answer:

\(m=\frac{-8}{3}\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in the 2 coordinates into the slope formula to find slope m:

\(m=\frac{-5-3}{1-(-2)}\)

\(m=\frac{-8}{1+2}\)

\(m=\frac{-8}{3}\)

Parallel lines have the same slope.

Answer:

A mean of 27.2 shows that the data values are relatively close together. It represents that typically the city's snowfall has been about 27.2 inches yearly over the last 5 years.

Step-by-step explanation:

The mean, also known as the average, is the sum of all the data values divided by the number of data points. In this case, the mean of 27.2 inches indicates that, on average, the city has experienced a snowfall of approximately 27.2 inches per year over the last 5 years. The fact that the mean is close to the individual values of 25, 27, 25, 29, and 30 inches suggests that the data points are relatively close together and do not deviate significantly from the mean, indicating that the snowfall in the city has been relatively consistent over the past 5 years.

17.) D= Hypertension
E= Smoking habits
Study design= Cross-sectional

18.) D= Dental cavities
E= Fluoride levels in drinking water
Study design= Ecological study

19.) D= IQ scores and school performance
E= Lead contamination levels
Study design= Case-control

20.) D= Severe autoimmune diseases
E= Silicone breast implants
Study design= Case series

17.) Hypertension awareness program, volunteers at a weekend health fair in a shopping mall note down blood pressure of determined smoking habits of 2000 people.
D= Hypertension
E= Smoking habits
Study design= Cross-sectional

18.) Average rate of dental cavities among children in 50 communities was anallysed with the average level of fluoride in the drinking water of those same communities.
D= Dental cavities
E= Fluoride levels in drinking water
Study design= Ecological study

19.) The IQ scores with school performance of the 100 most-lead effected children and the 100 least-lead effected children were determined and compared in the 3rd, 6th and 9th grade.
D= IQ scores and school performance
E= Lead contamination levels
Study design= Case-control

20.) Eight women between the ages of 25 and 45 who had breast augmentation with silicone breast implants in past were reported to have developed severe autoimmune diseases within 2 to 4 years after surgery.

D= Severe autoimmune diseases
E= Silicone breast implants
Study design= Case series

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Capital asset pricing model (CAPM) Applications of Capital Asset Pricing Model (CAPM) are as follows;The most important application of CAPM is in the calculation of the cost of equity.

CAPM is used by financial analysts and investors to determine the appropriate rate of return for individual stocks and portfolios. CAPM is also useful in determining the required rate of return for capital projects. By calculating the cost of equity capital, companies can make better investment decisions by determining which projects will yield the greatest return on investment.

CAPM can be used in the valuation of assets, such as stocks, real estate, and other investments. Finally, CAPM is useful in evaluating risk.

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Answer:

x = 3

x = -3

Step-by-step explanation:

If the population is known to be exponential, or the sample size is less than 10, the t distribution should not be used.

The t distribution can be used when the population is not normal, as long as certain assumptions are met. Let's examine each of the conditions you mentioned to see whether they meet these assumptions:

"The population distribution is not badly skewed": The t distribution assumes that the population is approximately normally distributed. If the population is not normal, but is not badly skewed, then the t distribution may still be used. However, the more the population deviates from normality, the less reliable the t distribution becomes.

"The sample size is less than 10": If the sample size is less than 10, the t distribution is generally not recommended. Instead, a small sample size can be better analyzed using non-parametric tests or exact tests, which do not assume any particular population distribution.

"The population distribution is known to be exponential": If the population distribution is known to be exponential, then the t distribution should not be used, as it assumes normality. Instead, an appropriate distribution, such as the exponential distribution, should be used to analyze the data.

"The sample size is not too small": The t distribution can be used when the sample size is not too small. Typically, a sample size of at least 30 is recommended for the t distribution to be reliable. However, if the population is not normal or if the sample is highly skewed, a larger sample size may be required.

In summary, using the t distribution requires certain assumptions to be met. If the population is not normal, but is not badly skewed, and the sample size is not too small, the t distribution can be used. However, if the population is known to be exponential, or the sample size is less than 10, the t distribution should not be used.

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The sign test, Wilcoxon signed-rank test, and the exact probability are conducted to compare the performance of two types of acoustical tiles in terms of their acoustic properties.

a) The sign test is conducted by comparing the number of times Tile B has a higher reverberation time than Tile A. In this case, there are 5 instances where Tile B has a higher time and 1 instance where Tile A has a higher time. Using the binomial distribution, the probability of observing 5 or more successes (Tile B with higher time) out of 6 trials (total number of comparisons) is calculated. If the probability is less than 0.05, we conclude that there is a statistically significant difference between the tiles.

b) The Wilcoxon signed-rank test is used to compare the differences between paired observations. In this case, we calculate the test statistic based on the differences between the reverberation times for each room. Using the normal approximation, the test statistic is compared to the critical value at a significance level of 0.05. If the test statistic is less than the critical value, we conclude that there is a significant difference between the tiles.

c) The exact probability of the sign-rank test statistic being less than 1 is calculated by considering the ranks assigned to the differences in reverberation times. By summing the probabilities of all possible scenarios where the sum of the ranks for negative differences is less than 1, we can determine the exact probability. This provides a more precise measure of significance than the normal approximation used in part b.

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Answer:

5.1

Step-by-step explanation:

a² + b² = c²

1² + 5² = c²

1 + 25 = c²

26 = c²

c = 5.1

Answer:

The constant of variation is k =

3/8

When a = 1 and b = 5, what is the value of c?

3/40

Answer:

I believe it would be 14 to 28

Step-by-step explanation:

thx for da points v buzzed from dhrbd good

The given problem can be solved by using Malus Law. According to Malus Law, the intensity of the light transmitted through a polarizing sheet is equal to the product of the intensity of incident light.

The square of the cosine of the angle between the polarizing axis and the transmission axis. Let the intensity of the incident light be I. Then the intensity of light transmitted through the first polarizing sheet is I. 1) Intensity of light transmitted through the second polarizing sheet is Icos²(24º)

2) Intensity of light transmitted through the third polarizing sheet is Icos²(9º)3) The percentage of light transmitted through the third polarizing sheet relative to the first one is:T = [Icos²(9º)] / [I] = cos²(9º)×100% = 92.24% ≈ 92%Thus, the percentage of light transmitted through the third polarizing sheet relative to the first one is approximately 92%.

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Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:47791.31

Step-by-step explanation:

Answer:

It cost $164 to produce 765 gallons of chocolate chunk ice

Step-by-step explanation:

The function C(g) represents the cost (C) to produce g gallons of chocolate chunk ice.

Given the statement:

C(765)=164

Comparing with C(g), we have that:

Cost, C = $164

Number of gallons of chocolate chunk ice. g=765

Therefore, the meaning of the given statement is:

It cost $164 to produce 765 gallons of chocolate chunk ice